Pith Number

pith:GS26JC5K

pith:2010:GS26JC5K4P5CO62IEFAQIBE4UD

not attested not anchored not stored refs pending

Two-dimensional quantum black holes: Numerical methods

Fethi M Ramazano\u{g}lu, Frans Pretorius

arxiv:1009.1440 v1 · 2010-09-08 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GS26JC5K4P5CO62IEFAQIBE4UD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:34:09.873493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b5e48baae3fa277b48214104049ca0c89c6750285ee04bc329b02ba5b4df5b

Aliases

arxiv: 1009.1440 · arxiv_version: 1009.1440v1 · doi: 10.48550/arxiv.1009.1440 · pith_short_12: GS26JC5K4P5C · pith_short_16: GS26JC5K4P5CO62I · pith_short_8: GS26JC5K

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GS26JC5K4P5CO62IEFAQIBE4UD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 34b5e48baae3fa277b48214104049ca0c89c6750285ee04bc329b02ba5b4df5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea5566c0afa4a5e2c4d17943e9e3058b0f43954c99e8e911c0356dd6bc61085",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-09-08T02:22:28Z",
    "title_canon_sha256": "c3396b8121ab87e1a60238aba1094eb6f7fc87e9c5bc26bccd715048f1c14ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1440",
    "kind": "arxiv",
    "version": 1
  }
}